Optimal Power Flow By Newton Approach
ABSTRACT The classical optimal power flow problem with a nonseparable objective function can be solved by an explicit Newton approach. Efficient, robust solutions can be obtained for problems of any practical size or kind. Solution effort is approximately proportional to network size, and is relatively independent of the number of controls or binding inequalities. The key idea is a direct simultaneous solution for all of the unknowns in the Lagrangian function on each iteration. Each iteration minimizes a quadratic approximation of the Lagrangian. For any given set of binding constraints the process converges to the Kuhn-Tucker conditions in a few iterations. The challenge in algorithm development is to efficiently identify the binding inequalities.
- [Show abstract] [Hide abstract]
ABSTRACT: The power flow problem deals with certain controllable variables that are adjusted to minimize operating costs, while satisfying operating limits on various controls, dependent variables and function of variables. This paper presents an efficient and reliable nature inspired based approach to solve the optimal power flow (OPF) problems. The proposed approach employs the integration of Fuzzy Systems with genetic algorithm (GA) and particle swarm optimization (PSO) algorithm for optimal setting of OPF problem control variables. The proposed approach has been applied on the modified IEEE 30-bus test system with minimizing the operating costs of system. The results have been compared with the results reported in the literature.Journal of The Institution of Engineers (India): Series B. 12/2014; 95(4).
Article: Optimal power flow algorithms
- [Show abstract] [Hide abstract]
ABSTRACT: The recent movement towards an open, competitive market environment introduced new optimization problems such as market clearing mechanism, bidding decision and Available Transfer Capability (ATC) calculation. These optimization problems are characterized by the complexity of power systems and the uncertainties in the electricity market. Accurate evaluation of the transfer capability of a transmission system is required to maximize the utilization of the existing transmission systems in a competitive market environment. The transfer capability of the transmission networks can be limited by various system constraints such as thermal, voltage and stability limits. The ability to incorporate such limits into the optimization problem is a challenge in the ATC calculation from an engineering point of view. In the competitive market environment, a power supplier needs to find an optimal strategy that maximizes its own profits under various uncertainties such as electricity prices and load. On the other hand, an efficient market clearing mechanism is needed to increase the social welfare, i.e. the sum of the consumers’ and producers’ surplus. The need to maximize the social welfare subject to system operational constraints is also a major challenge from a societal point of view. This paper presents new optimization techniques motivated by the competitive electricity market environment. Numerical simulation results are presented to demonstrate the performance of the proposed optimization techniques.IMA Journal of Management Mathematics 10/2004; 15(4). · 0.47 Impact Factor